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Finding the Third Proportional to 150,697.97 and 233,133.19

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Solution

The third proportional to 150,697.97 and 233,133.19 is: 360,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,697.97 : 233,133.19 = 233,133.19 : x
  2. Step 2: Convert to fraction form
    150,697.97/233,133.19 = 233,133.19/x
  3. Step 3: Cross multiply
    150,697.97x = 233,133.19 × 233,133.19
  4. Step 4: Simplify right side
    150,697.97x = 54,351,083,113.91
  5. Step 5: Solve for x
    x = 54,351,083,113.91/150,697.97
  6. Step 6: Final answer
    x = 360,662.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.